A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity

@article{Ma2002AGA,
  title={A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity},
  author={Hang Ma and N. Kamiya},
  journal={Computational Mechanics},
  year={2002},
  volume={29},
  pages={277-288}
}
  • Hang Ma, N. Kamiya
  • Published 2002
  • Mathematics
  • Computational Mechanics
  • Abstract A general algorithm of the distance transformation type is presented in this paper for the accurate numerical evaluation of nearly singular boundary integrals encountered in elasticity, which, next to the singular ones, has long been an issue of major concern in computational mechanics with boundary element methods. The distance transformation is realized by making use of the distance functions, defined in the local intrinsic coordinate systems, which plays the role of damping-out the… CONTINUE READING
    74 Citations
    A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
    • 57
    • PDF
    The Sinh Transformation for Curved Elements Using theGeneral Distance Function
    • 11
    A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
    • 12

    References

    SHOWING 1-10 OF 22 REFERENCES
    Regularization of nearly hypersingular integrals in the boundary element method
    • 27
    • PDF
    A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals
    • 606
    Direct computation of Cauchy principal value integrals in advanced boundary elements
    • 168
    Finite parts of singular and hypersingular integrals with irregular boundary source points
    • 36
    • Highly Influential
    • PDF